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Study Guides

College Algebra

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Course Contents

Divide Polynomials
Course Contents at a Glance
Methods for Finding Zeros of Polynomials

Module 1: Algebra Essentials

Putting It Together: Power and Polynomial Functions
Why It Matters: Algebra Essentials

Module 10: Rational and Radical Functions

Real Numbers
Why It Matters: Rational And Radical Functions
Exponents and Scientific Notation
Rational Functions
Radicals and Rational Exponents
Radical Functions
Putting It Together: Algebra Essentials
Variation

Module 2: Polynomial and Rational Expressions

Putting It Together: Rational and Radical Functions
Why It Matters: Polynomial and Rational Expressions

Module 11: Exponential and Logarithmic Functions

Polynomial Basics
Why It Matters: Exponential and Logarithmic Functions
Factoring Polynomials
Exponential Functions
Rational Expressions
Graphs of Exponential Functions
Putting It Together: Polynomial and Rational Expressions
Logarithmic Functions

Module 3: The Rectangular Coordinate System and Equations of Lines

Graphs of Logarithmic Functions
Why It Matters: The Rectangular Coordinate System and Equations of Lines
Putting It Together: Exponential and Logarithmic Functions
Points and Lines in the Plane

Module 12: Exponential and Logarithmic Equations and Models

Equations of Lines
Why It Matters: Exponential and Logarithmic Equations and Models
Putting It Together: The Rectangular Coordinate System and Equations of Lines
Logarithmic Properties

Module 4: Equations and Inequalities

Exponential and Logarithmic Equations
Why It Matters: Equations and Inequalities
Exponential and Logarithmic Models
Equation-Solving Techniques
Putting It Together: Exponential and Logarithmic Equations and Models
Models and Applications

Module 13: Systems of Equations and Inequalities

Quadratic Equations
Why It Matters: Systems of Equations and Inequalities
Linear Inequalities and Absolute Value Inequalities
Systems of Linear Equations: Two Variables
Putting It Together: Equations and Inequalities
Systems of Nonlinear Equations and Inequalities

Module 5: Function Basics

Systems of Linear Equations: Three Variables
Why It Matters: Function Basics
Partial Fractions: an Application of Systems
Characteristics of Functions and Their Graphs
Putting It Together: Systems of Equations and Inequalities
Domain and Range of Functions

Module 14: Solve Systems With Matrices

Rates of Change and Behavior of Graphs
Why It Matters: Solve Systems with Matrices
Putting It Together: Function Basics
Matrices and Matrix Operations

Module 6: Algebraic Operations on Functions

Gaussian Elimination
Why It Matters: Algebraic Operations On Functions
Solve Systems with Inverses
Compositions of Functions
Putting It Together: Solve Systems with Matrices
Transformations of Functions

Module 15: Conic Sections

Putting It Together: Algebraic Operations on Functions
Why It Matters: Conic Sections
Inverse Functions
The Ellipse

Module 7: Linear and Absolute Value Functions

The Hyperbola
Why It Matters: Linear and Absolute Value Functions
The Parabola
Linear Functions
Putting It Together: Conic Sections
Graphs of Linear Functions

Module 16: Sequences and Series

Modeling With Linear Functions
Why It Matters: Sequences and Series
Putting It Together: Linear and Absolute Value Functions
Sequences and Their Notations

Module 8: Quadratic Functions

Arithmetic Sequences
Why It Matters: Quadratic Functions
Geometric Sequences
Complex Numbers
Series and Their Notations
Graphs of Quadratic Functions
Putting It Together: Sequences and Series
Analysis of Quadratic Functions

Module 17: Probability and Counting Principles

Putting It Together: Quadratic Functions
Why It Matters: Probability and Counting Principles

Module 9: Power and Polynomial Functions

Counting Principles
Why It Matters: Power and Polynomial Functions
Probability
Characteristics of Power and Polynomial Functions
Putting It Together: Probability and Counting Principles
Graphs of Polynomial Functions